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Finding the Fourth Proportional to 24.50, 33.83 and 16.74

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Solution

The fourth proportional to 24.50, 33.83 and 16.74 is: 23.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.50 : 33.83 = 16.74 : x
  2. Step 2: Convert to fraction form
    24.50/33.83 = 16.74/x
  3. Step 3: Cross multiply
    24.50x = 33.83 × 16.74
  4. Step 4: Simplify right side
    24.50x = 566.46
  5. Step 5: Solve for x
    x = 566.46/24.50
  6. Step 6: Final answer
    x = 23.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.